Journal of Lie Theory

no. 2
Local Spectral Radius Formulas on Compact Lie Groups
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 223-230
We determine the local spectrum of a central element of the complexified universal enveloping algebra of a compact connected Lie group at a smooth function as an element of Lp(G). Based on this result we establish a corresponding local spectral radius formula.
DOI: 10.5802/jolt.548
Classification: 22E30, 47A11
Keywords: Compact Lie group, universal enveloping algebra, local spectrum, local spectral radius, local spectral radius formula 
@article{JOLT_2009_19_2_a1,
     author = {N. B. Andersen and M. de Jeu},
     title = {Local {Spectral} {Radius} {Formulas} on {Compact} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {223--230},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.548},
     zbl = {1187.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.548/}
}
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N. B. Andersen; M. de Jeu. Local Spectral Radius Formulas on Compact Lie Groups. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 223-230. doi: 10.5802/jolt.548

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